On the problem of the amenability of the gauge group

DOI10.1023/B:MATH.0000043318.42556.03zbMath1079.43003arXivmath-ph/0401031OpenAlexW3099148922MaRDI QIDQ2575237

Alan L. Carey, Hendrik B. G. S. Grundling

Publication date: 8 December 2005

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0401031

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Operator algebra methods applied to problems in quantum theory (81R15) States of selfadjoint operator algebras (46L30) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (5)

Automatic continuity and representation of group homomorphisms defined between groups of continuous functions ⋮ An amenability-like property of finite energy path and loop groups ⋮ Lie theoretic significance of the measure topologies associated with a finite trace ⋮ Some remarks on group bundles and \(C^*\) dynamical systems ⋮ SOME C*-ALGEBRAS ASSOCIATED TO QUANTUM GAUGE THEORIES

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